Home / 1,284.34-1,926.30-406.64

Finding the Fourth Proportional to 1,284.34, 1,926.30 and 406.64

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Solution

The fourth proportional to 1,284.34, 1,926.30 and 406.64 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.34 : 1,926.30 = 406.64 : x
  2. Step 2: Convert to fraction form
    1,284.34/1,926.30 = 406.64/x
  3. Step 3: Cross multiply
    1,284.34x = 1,926.30 × 406.64
  4. Step 4: Simplify right side
    1,284.34x = 783,310.63
  5. Step 5: Solve for x
    x = 783,310.63/1,284.34
  6. Step 6: Final answer
    x = 609.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.